If x = f(0) cos(e) and y=f(0) sin(8) then the dy dx derivative with polar coordinates, where f(0) = = requals: U•U 2 sin rcos rcos T-sinQ dr de dr de dr de dr -sin(0) + rcos(e) (rcos@drcos) de -cos(0) - r sin(0) y=f(0) sin(0) 9 x = f(0) cos(0) 13! dy dx -cos(0) - r sin(0) dr de dr de بالنسبة للإحداثيات القطبية -sin(0) + r cos(8) dr de dr de -cos(0)+ r sin(e) -sin(0) - r cos(8) فإن المشتقة حيث f(0) = r تساوي: -sin(0) -rcos(0) -cos(0) + r sin(0) rsin d re-s (coes (0) 2 с себ

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dy
عدل
44.
ป
vid' - you'
U2
If x = f(e) cos(e) and y=f(0) sin(8) then the
derivative
dy
dx
f(0) = requals:
rsino
rcoso
u=rsin
u' = rcos
=
r2050
v² = r - sin Q
with polar coordinates, where
dr
de
dr
de
-cos(0) -
-
dr
de
dr
de
y=f(0) sin(0) 9 x = f(0) cos(8) Tj!
dy
dx
dr
-sin(e) + rcos(e) (rcos@drcos)
de
dr
-cos(0) - r sin(0)
de
-sin(0) + r cos(0)
dr
de
بالنسبة للإحداثيات القطبية
dr
de
rsin(8)
r
-cos(0) + r sin(8)
-sin(0) - r cos(0)
و
-sin(0) - rcos(8)
-cos(0) + r sin(e)
فإن المشتقة
حيث f(0) = r تساوي:
(coes (0)
rsin@d
di
re-sin
2
Transcribed Image Text:dy عدل 44. ป vid' - you' U2 If x = f(e) cos(e) and y=f(0) sin(8) then the derivative dy dx f(0) = requals: rsino rcoso u=rsin u' = rcos = r2050 v² = r - sin Q with polar coordinates, where dr de dr de -cos(0) - - dr de dr de y=f(0) sin(0) 9 x = f(0) cos(8) Tj! dy dx dr -sin(e) + rcos(e) (rcos@drcos) de dr -cos(0) - r sin(0) de -sin(0) + r cos(0) dr de بالنسبة للإحداثيات القطبية dr de rsin(8) r -cos(0) + r sin(8) -sin(0) - r cos(0) و -sin(0) - rcos(8) -cos(0) + r sin(e) فإن المشتقة حيث f(0) = r تساوي: (coes (0) rsin@d di re-sin 2
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